Finding the Fourth Proportional to 1,406.50, 2,105.22 and 747.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.50 : 2,105.22 = 747.46 : x
2. Step 2: Convert to fraction form
   1,406.50/2,105.22 = 747.46/x
3. Step 3: Cross multiply
   1,406.50x = 2,105.22 × 747.46
4. Step 4: Simplify right side
   1,406.50x = 1,573,573.18
5. Step 5: Solve for x
   x = 1,573,573.18/1,406.50
6. Step 6: Final answer
   x = 1,118.79